Naszodi Marton: Title: John ellipsoid for log-concave functions Abstract The largest volume ellipsoid contained in a convex body in R^d is a central object in convex geometry. We study how it can be extended to the space of log-concave functions. As it is ongoing work, we kindly expect the audience to ask questions that we do not have an answer to, yet. Joint work with Grigory Ivanov.